[plain talk]

Jesus does not refer to the girl as a dog.

26 The woman was a Greek, born in Syrian Phoenicia. She begged Jesus to drive the demon out of her daughter.

27 “First let the children eat all they want,” he told her, “for it is not right to take the children’s bread and toss it to the dogs.”

28 “Lord,” she replied, “even the dogs under the table eat the children’s crumbs.”

29 Then he told her, “For such a reply, you may go; the demon has left your daughter.”

30 She went home and found her child lying on the bed, and the demon gone.

[Olog-hai]

Even in Mark 7, the word translated “dogs” is from the Greek word that means “puppies”.

[Larry Lucido]

I’d explain it to him, but I don’t cast my pearls before swine.

[BroJoeK]

"27 “First let the children eat all they want,” he told her, “for it is not right to take the children’s bread and toss it to the dogs.”

28 “Lord,” she replied, “even the dogs under the table eat the children’s crumbs.”

29 Then he told her, “For such a reply, you may go; the demon has left your daughter.” "

Thanks so much for that full explanation!